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Finding the Fourth Proportional to 69.82, 104.52 and 53.80

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Solution

The fourth proportional to 69.82, 104.52 and 53.80 is: 80.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.82 : 104.52 = 53.80 : x
  2. Step 2: Convert to fraction form
    69.82/104.52 = 53.80/x
  3. Step 3: Cross multiply
    69.82x = 104.52 × 53.80
  4. Step 4: Simplify right side
    69.82x = 5,623.18
  5. Step 5: Solve for x
    x = 5,623.18/69.82
  6. Step 6: Final answer
    x = 80.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.